African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Short Communication

Some inequalities of a formula of population size due to epidemics model problem

Hemant Kumar
Department of Mathematics, D. A-V. P. G. College, Kanpur, (U. P.), India.
Email: [email protected]

  •  Accepted: 05 January 2011
  •  Published: 31 March 2011

Abstract

 

In the present paper, we evaluate a formula of population size due to epidemics model problem for communicable diseases, in which the daily contact rate is supposed to be varied with population size N(t) that is large, so that it is considered as a continuous variable of time (t). Then, we obtain some inequalities of above analytic formula of population size that are useful to plot some graphs on population dynamics of the system.

 

Key words: Population size, epidemics model, hypergeometric function, inequalities, communicable diseases.